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Finding the Fourth Proportional to 3,855.76, 5,788.92 and 2,008.08

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Solution

The fourth proportional to 3,855.76, 5,788.92 and 2,008.08 is: 3,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.76 : 5,788.92 = 2,008.08 : x
  2. Step 2: Convert to fraction form
    3,855.76/5,788.92 = 2,008.08/x
  3. Step 3: Cross multiply
    3,855.76x = 5,788.92 × 2,008.08
  4. Step 4: Simplify right side
    3,855.76x = 11,624,614.47
  5. Step 5: Solve for x
    x = 11,624,614.47/3,855.76
  6. Step 6: Final answer
    x = 3,014.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.